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Finding the Third Proportional to 401,444 and 587,092

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Solution

The third proportional to 401,444 and 587,092 is: 858,593.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,444 : 587,092 = 587,092 : x
  2. Step 2: Convert to fraction form
    401,444/587,092 = 587,092/x
  3. Step 3: Cross multiply
    401,444x = 587,092 × 587,092
  4. Step 4: Simplify right side
    401,444x = 344,677,016,464
  5. Step 5: Solve for x
    x = 344,677,016,464/401,444
  6. Step 6: Final answer
    x = 858,593.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.